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Goodwill and Intangible Assets - Estimated Future Amortization Expense of Intangible Assets (Details) - USD ($)
$ in Thousands
Jun. 30, 2023
Sep. 30, 2022
Finite-Lived Intangible Assets, Net, Amortization Expense, Fiscal Year Maturity [Abstract]    
2023 $ 11,366  
2024 50,664  
2025 49,292  
2026 45,908  
2027 37,706  
2028 31,219  
Thereafter 85,900  
Net Book Value $ 312,055 $ 178,401